The other interesting point to note here is that local quantum uncertainty has a geometric interpretation although it only applies to qubit-qudit quantum states. By employing the square root form of a density operator, the (squared) Hellinger distance [1]} between two states \(\rho \)  and \(\varrho \)  takes the following form
\(D_{H}^{2}\left(\rho ,\varrho \right)=\frac{1}{2}{\rm Tr}\left[ \rho ^{1/2}-\varrho ^{1/2}\right]^{2}=1-{\rm Tr}\left[\rho ^{1/2}\varrho ^{1/2} \right].\) 
